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Finding the Fourth Proportional to 414,545.40, 621,818.10 and 287,918.10

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Solution

The fourth proportional to 414,545.40, 621,818.10 and 287,918.10 is: 431,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,545.40 : 621,818.10 = 287,918.10 : x
  2. Step 2: Convert to fraction form
    414,545.40/621,818.10 = 287,918.10/x
  3. Step 3: Cross multiply
    414,545.40x = 621,818.10 × 287,918.10
  4. Step 4: Simplify right side
    414,545.40x = 179,032,685,897.61
  5. Step 5: Solve for x
    x = 179,032,685,897.61/414,545.40
  6. Step 6: Final answer
    x = 431,877.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.